Least Common Multiple (LCM) of 162 and 161
The least common multiple (LCM) of 162 and 161 is 26082.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 162 and 161?
First, calculate the GCD of 162 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 161 = 1 remainder 1 |
| 2 | 161 ÷ 1 = 161 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 24 | 2616 |
| 159 and 135 | 7155 |
| 154 and 189 | 4158 |
| 178 and 104 | 9256 |
| 67 and 14 | 938 |